Use of uncertainty polytope to describe constraint processes with uncertain time-delay for robust model predictive control applications

Gongsheng Huang, Shengwei Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

25 Citations (Scopus)


This paper studies the application of robust model predictive control (MPC) in a constraint process suffering from time-delay uncertainty. The process is described using a transfer function and sampled into a discrete model for computer control design. A polytope is firstly developed to describe the uncertain discrete model due to the process's time-delay uncertainty. Based on the proposed description, a linear matrix inequality (LMI) based MPC algorithm is employed and modified to design a robust controller for such a constraint process. In case studies, the effect of time-delay uncertainty on the control performance of a standard MPC algorithm is investigated, and the proposed description and the modified control algorithm are validated in the temperature control of a typical air-handling unit.
Original languageEnglish
Pages (from-to)503-511
Number of pages9
JournalISA Transactions
Issue number4
Publication statusPublished - 1 Oct 2009


  • Air-conditioning system
  • Controller design
  • Robust model predictive control
  • Time-delay uncertainty

ASJC Scopus subject areas

  • Instrumentation
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

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